We start August with a very special type of number called a polite number, in which we will have problems with various difficulties, candies and peas.

And to balance the sweat of the neurons, a crumbling of a Martian apothegm.

Yo

A natural number is said to be polite, when it can be expressed as a sum of two or more consecutive natural numbers.

Suppose we can use the natural numbers from 1 to 20

Let's go with the following questions:

a.

What is the smallest and which is the largest polite number that can be formed?

b.

Can you form less, equal, or more polite even than odd numbers?

c.

Soon we will arrive at a significant date in our history, August 13.

Is the number 13 a polite number?

d.

Determine if the years you have completed corresponds to a courteous number.

If you don't want to find out your age, wear another one that makes you feel better.

It's your decision.

and.

How many different polite numbers can we form, having as a source that list of 20 natural numbers?

You must justify your answers.

II

Break down the following apothegm of our José Martí:

“It is a sad thing not to have friends, but it is sadder not to have enemies.

Because whoever does not have enemies, is a sign that he does not have;

nor talent that casts a shadow;

nor goods that are coveted;

no character that impresses;

nor feared courage;

nor honor that is murmured;

nor any good thing to be envied."

To break down an apothegm is to go into its essence, analyze it, search for or invent other similar ones that confirm it and others that contradict it.

Remember that:

“An insignificant solution out of your own head is preferable;

than a great one copied on the Internet or from another, especially without understanding it”.

NGPA

Hands and mind to work!